Statistics and Mathematics colloquium: Stochastic flows in infinite dimensions

Event status:

You are welcome to attend the following joint Statistics and Mathematics colloquium (part of the Colloquium Series of the Department of Mathematical and Physical Sciences) at La Trobe University organised together with the PVSeminar

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Date:
Thursday 25 May 2023 05:00 pm until Thursday 25 May 2023 06:00 pm (Add to calendar)
Contact:
Andriy Olenko
a.olenko@latrobe.edu.au
Presented by:
Professor Ben Goldys
Type of Event:
Public
Cost:
Free

Stochastic flows associated with finite dimensional SDEs and random dynamical systems are an important tool for the study of large time behaviour of solutions and for their pathwise analysis.

The existence of (smooth) stochastic flows in finite dimensions is well understood, see for example books by Kunita.

The famous Skorokhod example shows that the situation is completely different in infinite dimensions (hence for stochastic PDEs).

The existence of the flow for infinite dimensional stochastic systems is known in some special cases but is little understood.

We will present new results on the existence of the flows in infinite dimensions.

We will also present applications to the existence theory of stochastic PDEs and to the question of regularity of transition semigroups.

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